Class 11

Relations and Functions: Mixed Practice — Quiz

Five mixed questions on relations and functions. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find aa and bb if (a+2,3b−1)=(6,a+b)(a + 2, 3b - 1) = (6, a + b).
  2. A set AA has 33 elements. How many relations are there on AA?
  3. f(x)=x+1x−3\displaystyle f(x) = \dfrac{x + 1}{x - 3}. For which xx is f(x)=2f(x) = 2?
  4. Find the range of f(x)=25−x2f(x) = \sqrt{25 - x^2}.
  5. Making xx bags costs C(x)=500+12xC(x) = 500 + 12x rupees and each sells for ₹2222. How many bags must be sold to break even?
Unanswered questions are marked wrong.

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